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Finding the Third Proportional to 227,783 and 483,595

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Solution

The third proportional to 227,783 and 483,595 is: 1,026,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,783 : 483,595 = 483,595 : x
  2. Step 2: Convert to fraction form
    227,783/483,595 = 483,595/x
  3. Step 3: Cross multiply
    227,783x = 483,595 × 483,595
  4. Step 4: Simplify right side
    227,783x = 233,864,124,025
  5. Step 5: Solve for x
    x = 233,864,124,025/227,783
  6. Step 6: Final answer
    x = 1,026,697.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.